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Finding the Fourth Proportional to 1,364.16, 1,882.58 and 766.76

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Solution

The fourth proportional to 1,364.16, 1,882.58 and 766.76 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.16 : 1,882.58 = 766.76 : x
  2. Step 2: Convert to fraction form
    1,364.16/1,882.58 = 766.76/x
  3. Step 3: Cross multiply
    1,364.16x = 1,882.58 × 766.76
  4. Step 4: Simplify right side
    1,364.16x = 1,443,480.26
  5. Step 5: Solve for x
    x = 1,443,480.26/1,364.16
  6. Step 6: Final answer
    x = 1,058.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.